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Finding the Third Proportional to 6,999.75 and 9,795.38

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Solution

The third proportional to 6,999.75 and 9,795.38 is: 13,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.75 : 9,795.38 = 9,795.38 : x
  2. Step 2: Convert to fraction form
    6,999.75/9,795.38 = 9,795.38/x
  3. Step 3: Cross multiply
    6,999.75x = 9,795.38 × 9,795.38
  4. Step 4: Simplify right side
    6,999.75x = 95,949,371.39
  5. Step 5: Solve for x
    x = 95,949,371.39/6,999.75
  6. Step 6: Final answer
    x = 13,707.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.